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If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),...

If `f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2):}` then `int_(0)^(2)f(x)dx` equals

A

`(2)/(3)-(1)/(7)log8`

B

`(2)/(3)+(1)/(7)log2`

C

`(1)/(42)`

D

`(2)/(3)+(1)/(7)log8`

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AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
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  3. If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2)...

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  7. Let g(x) be a continous and differentiable function such that int(0...

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  8. Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...

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  9. f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...

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  14. The value of int(2010pi+(pi)/(6))^(2010pi+(pi)/(3))(sinx+cosx)dx is

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  15. Let int(a)^(b)f(x)dx=int(a+c)^(b+c)f(x-c)dx. Then the value of int(0)^...

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  16. If x^(f(x))=e^(x-f(x)), then the value of integral int(1)^(2)f'(x){(1+...

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  17. If overset(x)underset(e )int t f(t)dt=sin x-x cos x-(x^(2))/(2) for al...

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  18. The value of the integral int(-2012pi)^(2012pi) {d/dx(int0^(x^2) cost^...

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  19. The value of int(-2010pi)^(2010pi) {x^2011(1+tan(pi/3-x)(1+tan(x-pi/1...

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